1,937,128

2³ × 31 × 73 × 107

Starting at 1,937,128, the Collatz iteration reaches 1 after 171 steps. The first transition is 968564; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 31 × 73 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,836,160

Proper Divisor Sum 1,899,032

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1937123 ← → #1937153

Radix Representation

Decimal	1937128
Binary	111011000111011101000 (21 bits)
Octal	0o7307350
Hexadecimal	0x1D8EE8

Divisor Catalog (32)

1 2 4 8 31 62 73 107 124 146 214 248 292 428 584 856 2,263 3,317 4,526 6,634 7,811 9,052 13,268 15,622 18,104 26,536 31,244 62,488 242,141 484,282 968,564 1,937,128

Collatz Trajectory (171 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,937,128 968,564 484,282 242,141 726,424 363,212 181,606 90,803 272,410 136,205 408,616 204,308 102,154 51,077 153,232 76,616 38,308 19,154 9,577 28,732 14,366 7,183 21,550 10,775 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302

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